A model for gas-solid flow in a horizontal duct with a smooth merge of rapid-intermediate-dense flows

Yassir Makkawi, Raffaella Ocone

Research output: Contribution to journalArticle

Abstract

Granular flow in the rapid flow regime is dominated by particle-particle collisions and the constitutive relations for the solid stress are obtained from the classic kinetic theory of granular flow. In the dense flow regime, on the other hand, particles interact via enduring contacts and the solid stress can be deduced from soil mechanics theories. In this paper, constitutive equations, recently proposed by Tardos et al. [2003. Slow and intermediate flow of frictional bulk powder in the Couette geometry. Powder Technology 131, 23-39.] has been incorporated in the simulation of gas-solid flow in a horizontal duct. These equations smoothly merge the rapid granular flow solution with the so-called "intermediate" regime (where both kinetic/collisional and frictional contributions might play a role) and reduce to Coulomb yield condition for slow frictional flow (shear rate ? 0). The results of this new modelling approach have shown good qualitative agreement with the reported experimental observation on wide range of gas-solid flow conditions. In this study, we also present the definition of boundaries between rapid-intermediate-dense flow regimes based on the dimensionless shear rate ( ?), and a modified Reynolds number (Re). We have shown that the intermediate flow regime can be classified at approximately 0.1 < ? < 1.0 and 100 < ce:italic(Re) < 3000. © 2006 Elsevier Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)4271-4281
Number of pages11
JournalChemical Engineering Science
Volume61
Issue number13
DOIs
Publication statusPublished - Jul 2006

Fingerprint

gas
kinetics
constitutive equation
soil mechanics
shear flow
Reynolds number
collision
geometry
modeling
simulation
particle
rate

Keywords

  • Friction stress
  • Gas-solid flow
  • Hydrodynamic modelling
  • Kinetic theory
  • Regime characteristics

Cite this

@article{f8a0873224f74ec6bb8c47f7115c755a,
title = "A model for gas-solid flow in a horizontal duct with a smooth merge of rapid-intermediate-dense flows",
abstract = "Granular flow in the rapid flow regime is dominated by particle-particle collisions and the constitutive relations for the solid stress are obtained from the classic kinetic theory of granular flow. In the dense flow regime, on the other hand, particles interact via enduring contacts and the solid stress can be deduced from soil mechanics theories. In this paper, constitutive equations, recently proposed by Tardos et al. [2003. Slow and intermediate flow of frictional bulk powder in the Couette geometry. Powder Technology 131, 23-39.] has been incorporated in the simulation of gas-solid flow in a horizontal duct. These equations smoothly merge the rapid granular flow solution with the so-called {"}intermediate{"} regime (where both kinetic/collisional and frictional contributions might play a role) and reduce to Coulomb yield condition for slow frictional flow (shear rate ? 0). The results of this new modelling approach have shown good qualitative agreement with the reported experimental observation on wide range of gas-solid flow conditions. In this study, we also present the definition of boundaries between rapid-intermediate-dense flow regimes based on the dimensionless shear rate ( ?), and a modified Reynolds number (Re). We have shown that the intermediate flow regime can be classified at approximately 0.1 < ? < 1.0 and 100 < ce:italic(Re) < 3000. {\circledC} 2006 Elsevier Ltd. All rights reserved.",
keywords = "Friction stress, Gas-solid flow, Hydrodynamic modelling, Kinetic theory, Regime characteristics",
author = "Yassir Makkawi and Raffaella Ocone",
year = "2006",
month = "7",
doi = "10.1016/j.ces.2006.01.017",
language = "English",
volume = "61",
pages = "4271--4281",
journal = "Chemical Engineering Science",
issn = "0009-2509",
publisher = "Pergamon Press",
number = "13",

}

A model for gas-solid flow in a horizontal duct with a smooth merge of rapid-intermediate-dense flows. / Makkawi, Yassir; Ocone, Raffaella.

In: Chemical Engineering Science, Vol. 61, No. 13, 07.2006, p. 4271-4281.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A model for gas-solid flow in a horizontal duct with a smooth merge of rapid-intermediate-dense flows

AU - Makkawi, Yassir

AU - Ocone, Raffaella

PY - 2006/7

Y1 - 2006/7

N2 - Granular flow in the rapid flow regime is dominated by particle-particle collisions and the constitutive relations for the solid stress are obtained from the classic kinetic theory of granular flow. In the dense flow regime, on the other hand, particles interact via enduring contacts and the solid stress can be deduced from soil mechanics theories. In this paper, constitutive equations, recently proposed by Tardos et al. [2003. Slow and intermediate flow of frictional bulk powder in the Couette geometry. Powder Technology 131, 23-39.] has been incorporated in the simulation of gas-solid flow in a horizontal duct. These equations smoothly merge the rapid granular flow solution with the so-called "intermediate" regime (where both kinetic/collisional and frictional contributions might play a role) and reduce to Coulomb yield condition for slow frictional flow (shear rate ? 0). The results of this new modelling approach have shown good qualitative agreement with the reported experimental observation on wide range of gas-solid flow conditions. In this study, we also present the definition of boundaries between rapid-intermediate-dense flow regimes based on the dimensionless shear rate ( ?), and a modified Reynolds number (Re). We have shown that the intermediate flow regime can be classified at approximately 0.1 < ? < 1.0 and 100 < ce:italic(Re) < 3000. © 2006 Elsevier Ltd. All rights reserved.

AB - Granular flow in the rapid flow regime is dominated by particle-particle collisions and the constitutive relations for the solid stress are obtained from the classic kinetic theory of granular flow. In the dense flow regime, on the other hand, particles interact via enduring contacts and the solid stress can be deduced from soil mechanics theories. In this paper, constitutive equations, recently proposed by Tardos et al. [2003. Slow and intermediate flow of frictional bulk powder in the Couette geometry. Powder Technology 131, 23-39.] has been incorporated in the simulation of gas-solid flow in a horizontal duct. These equations smoothly merge the rapid granular flow solution with the so-called "intermediate" regime (where both kinetic/collisional and frictional contributions might play a role) and reduce to Coulomb yield condition for slow frictional flow (shear rate ? 0). The results of this new modelling approach have shown good qualitative agreement with the reported experimental observation on wide range of gas-solid flow conditions. In this study, we also present the definition of boundaries between rapid-intermediate-dense flow regimes based on the dimensionless shear rate ( ?), and a modified Reynolds number (Re). We have shown that the intermediate flow regime can be classified at approximately 0.1 < ? < 1.0 and 100 < ce:italic(Re) < 3000. © 2006 Elsevier Ltd. All rights reserved.

KW - Friction stress

KW - Gas-solid flow

KW - Hydrodynamic modelling

KW - Kinetic theory

KW - Regime characteristics

UR - http://www.scopus.com/inward/record.url?scp=33646792980&partnerID=8YFLogxK

U2 - 10.1016/j.ces.2006.01.017

DO - 10.1016/j.ces.2006.01.017

M3 - Article

VL - 61

SP - 4271

EP - 4281

JO - Chemical Engineering Science

JF - Chemical Engineering Science

SN - 0009-2509

IS - 13

ER -